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2320460000 = 2554157739
BaseRepresentation
bin1000101001001111…
…0110100011100000
312222201100120200222
42022103312203200
514223014210000
61022131302212
7111334404335
oct21223664340
95881316628
102320460000
11a90925a41
1254914a968
132ac989a71
1418027698c
15d8ab3a85
hex8a4f68e0

2320460000 has 120 divisors (see below), whose sum is σ = 5752814760. Its totient is φ = 921024000.

The previous prime is 2320459991. The next prime is 2320460003. The reversal of 2320460000 is 640232.

It is a super-2 number, since 2×23204600002 = 10769069223200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320460003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3139631 + ... + 3140369.

It is an arithmetic number, because the mean of its divisors is an integer number (47940123).

Almost surely, 22320460000 is an apocalyptic number.

2320460000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876407380).

2320460000 is an abundant number, since it is smaller than the sum of its proper divisors (3432354760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2320460000 is an equidigital number, since it uses as much as digits as its factorization.

2320460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2320460000 is about 48171.1531935867. The cubic root of 2320460000 is about 1323.9086777524.

The spelling of 2320460000 in words is "two billion, three hundred twenty million, four hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 157 160 200 250 314 400 500 625 628 739 785 800 1000 1250 1256 1478 1570 2000 2500 2512 2956 3140 3695 3925 4000 5000 5024 5912 6280 7390 7850 10000 11824 12560 14780 15700 18475 19625 20000 23648 25120 29560 31400 36950 39250 59120 62800 73900 78500 92375 98125 116023 118240 125600 147800 157000 184750 196250 232046 295600 314000 369500 392500 461875 464092 580115 591200 628000 739000 785000 923750 928184 1160230 1478000 1570000 1847500 1856368 2320460 2900575 2956000 3140000 3695000 3712736 4640920 5801150 7390000 9281840 11602300 14502875 14780000 18563680 23204600 29005750 46409200 58011500 72514375 92818400 116023000 145028750 232046000 290057500 464092000 580115000 1160230000 2320460000